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Finding the Fourth Proportional to 320,278.20, 441,976.14 and 177,034.56

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Solution

The fourth proportional to 320,278.20, 441,976.14 and 177,034.56 is: 244,303.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,278.20 : 441,976.14 = 177,034.56 : x
  2. Step 2: Convert to fraction form
    320,278.20/441,976.14 = 177,034.56/x
  3. Step 3: Cross multiply
    320,278.20x = 441,976.14 × 177,034.56
  4. Step 4: Simplify right side
    320,278.20x = 78,245,051,475.40
  5. Step 5: Solve for x
    x = 78,245,051,475.40/320,278.20
  6. Step 6: Final answer
    x = 244,303.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.